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A moment of perfect clarity II: consequences of sparse sets hard for NP with respect to weak reductions
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Volume 31 ,  Issue 4  (December 2000) table of contents
Pages: 39 - 51  
Year of Publication: 2000
ISSN:0163-5700
Authors
Christian Glaßer
Lane A. Hemaspaandra  Dept. of Computer Science, University of Rochester, Rochester, NY
Publisher
ACM  New York, NY, USA
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ABSTRACT

This issue's column, Part II of the article started in the preceding issue, is about progress on the question of whether NP has sparse hard sets with respect to weak reductions.Upcoming Complexity Theory Column articles include A. Werschulz on information-based complexity; J. Castro, R. Gavaldà, and D. Guijarro on what complexity theorists can learn from learning theory; S. Ravi Kumar and D. Sivakumar on a to-be-announced topic; M. Holzer and P. McKenzie on alternating stack machines; and R. Paturi on the complexity of k-SAT.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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[AKM96] V. Arvind, J. Köbler, and M. Mundhenk. Upper bounds for the complexity of sparse and tally descriptions. Mathematical Systems Theory, 29:63-94, 1996.
 
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[CHW99] J. Cai, L. Hemaspaandra, and G. Wechsung. Robust reductions. Theory of Computing Systems, 32(6):625-647, 1999.
 
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[CNS95] J. Cai, A. Naik, and D. Sivakumar. On the existence of hard sparse sets under weak reductions. Technical Report 95-31, Department of Computer Science, State University of New York at Buffalo, Buffalo, NY, July 1995.
 
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[Gla00] C. Glaßer. Consequences of the existence of sparse sets hard for NP under a subclass of truth-table reductions. Technical Report TR 245, Institut für Informatik, Universität Würzburg, Würzburg, Germany, January 2000.
 
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[HOW92] L. Hemachandra, M. Ogiwara, and O. Watanabe. How hard are sparse sets? In Proceedings of the 7th Structure in Complexity Theory Conference, pages 222-238. IEEE Computer Society Press, June 1992.
 
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[Kad89] J. Kadin. pNP[log n] and sparse Turing-complete sets for NP. Journal of Computer and System Sciences, 39(3):282-298, 1989.
 
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[LLS75] R. Ladner, N. Lynch, and A. Selman. A comparison of polynomial time reducibilities. Theoretical Computer Science, 1(2):103-124, 1975.
 
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[Mah82] S. Mahaney. Sparse complete sets for NP: Solution of a conjecture of Berman and Hartmanis. Journal of Computer and System Sciences, 25(2):130-143, 1982.
 
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[Mah86] S. Mahaney. Sparse sets and reducibilities. In R. Book, editor, Studies in Complexity Theory, pages 63-118. John Wiley and Sons, 1986.
 
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[Siv00] D. Sivakumar, May 6, 2000. Personal Communication.
 
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[vM97] D. van Melkebeek, 1997. Personal Communication.
 
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Collaborative Colleagues:
Christian Glaßer: colleagues
Lane A. Hemaspaandra: colleagues